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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers
 (extra-ordinary)
Date: Tue, 3 Dec 2024 07:00:47 +0100
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Am 03.12.2024 um 06:47 schrieb Moebius:
> Am 03.12.2024 um 06:34 schrieb Chris M. Thomasson:

> Then the following can be shown:
> 
>       lim_(n->oo) {1, 2, 3, ..., n} = {1, 2, 3, ...} .
> 

While this seems to be intuitively clear, the following is less clear 
(I'd say):

> 
>       lim_(n->oo) {n, n+1, n+2, ...} = {} .

:-P

That's where WM fails. For him lim_(n->oo) {n, n+1, n+2, ...} =/= {} 
(has to be), after all, for all n e IN: {n, n+1, n+2, ...} =/= {} [even 
worse: for all n e IN: {n, n+1, n+2, ...} is infinite!].

> Hope this helps. :-P
> 
> .
> .
> .
>